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Finding the Fourth Proportional to 918.07, 1,267.97 and 622.83

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Solution

The fourth proportional to 918.07, 1,267.97 and 622.83 is: 860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.07 : 1,267.97 = 622.83 : x
  2. Step 2: Convert to fraction form
    918.07/1,267.97 = 622.83/x
  3. Step 3: Cross multiply
    918.07x = 1,267.97 × 622.83
  4. Step 4: Simplify right side
    918.07x = 789,729.76
  5. Step 5: Solve for x
    x = 789,729.76/918.07
  6. Step 6: Final answer
    x = 860.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.